4.92 is what percent of 206.4 - step by step solution

To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 206.4 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 100% equals 206.4, so we can write it down as 100%=206.4.
4. We know, that x% equals 4.92 of the output value, so we can write it down as x%=4.92.
5. Now we have two simple equations:
1) 100%=206.4
2) x%=4.92
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
100%/x%=206.4/4.92
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 4.92 is what percent of 206.4

100%/x%=206.4/4.92
(100/x)*x=(206.4/4.92)*x       - we multiply both sides of the equation by x
100=41.951219512195*x       - we divide both sides of the equation by (41.951219512195) to get x
100/41.951219512195=x
2.3837209302326=x
x=2.3837209302326

now we have:
4.92 is 2.3837209302326% of 206.4